reasonforge-analysis 0.1.1

Advanced calculus and differential equations MCP server - 17 tools for mathematical analysis

ReasonForge Analysis

Advanced calculus, differential equations, and transforms - 17 tools

An MCP (Model Context Protocol) server that provides Claude with advanced mathematical analysis capabilities using SymPy's symbolic engine.

Beta Status: This package is functional but still undergoing testing. Some edge cases may not be fully covered. Please report issues on GitHub.

Capabilities

• Differential Equations - Solve ODEs and PDEs symbolically with initial/boundary conditions
• Physics PDEs - Schrodinger, wave, and heat equation solvers
• Integral Transforms - Laplace, Fourier, Z-transform, Mellin, and custom transforms
• Signal Processing - Convolution and transfer function analysis
• Asymptotic Methods - Perturbation theory and asymptotic expansions

Installation

pip install reasonforge-analysis

Or install from source:

git clone https://github.com/foxintheloop/ReasonForge.git
cd ReasonForge
pip install -e packages/reasonforge -e packages/reasonforge-analysis

Claude Desktop Configuration

Add to your Claude Desktop config file:

Windows: %APPDATA%\Claude\claude_desktop_config.json macOS: ~/Library/Application Support/Claude/claude_desktop_config.json

{
  "mcpServers": {
    "reasonforge-analysis": {
      "command": "python",
      "args": ["-m", "reasonforge_analysis"]
    }
  }
}

Tools

Differential Equations (3 tools)

Tool	Description	Example Use
dsolve_ode	Solve ordinary differential equations	Solve y'' + y = 0
pdsolve_pde	Solve partial differential equations	Solve heat equation
symbolic_ode_initial_conditions	Apply initial conditions to ODE solutions	y(0) = 1, y'(0) = 0

Physics PDEs (3 tools)

Tool	Description	Example Use
schrodinger_equation_solver	Solve time-independent Schrodinger equation	Quantum harmonic oscillator
wave_equation_solver	Solve wave equation with boundary conditions	Vibrating string
heat_equation_solver	Solve heat/diffusion equation	Temperature distribution

Integral Transforms (5 tools)

Tool	Description	Example Use
laplace_transform	Compute Laplace transforms	Transform e^(-at)
fourier_transform	Compute Fourier transforms	Frequency analysis
z_transform	Compute Z-transforms for discrete signals	Digital signal processing
mellin_transform	Compute Mellin transforms	Special function analysis
integral_transforms_custom	Custom integral transforms	User-defined kernels

Signal Processing (2 tools)

Tool	Description	Example Use
convolution	Symbolic convolution of functions	System response
transfer_function_analysis	Analyze transfer functions	Poles, zeros, stability

Asymptotic Methods (2 tools)

Tool	Description	Example Use
perturbation_theory	Perturbation expansions	Approximate solutions
asymptotic_analysis	Asymptotic series and limits	Behavior at infinity

Special Functions (2 tools)

Tool	Description	Example Use
special_functions_properties	Properties of special functions	Bessel, Legendre, etc.
symbolic_optimization_setup	Set up optimization problems	Constraints and objectives

Example Usage

Once configured, you can ask Claude:

Differential Equations:

• "Solve the differential equation y'' + 4y = 0 with y(0) = 1, y'(0) = 0"
• "Solve the heat equation for a rod with insulated ends"

Transforms:

• "Find the Laplace transform of sin(3t)"
• "Compute the inverse Fourier transform of 1/(1 + omega^2)"

Signal Processing:

• "Convolve e^(-t) with sin(t) for t > 0"
• "Find the poles and zeros of H(s) = (s + 1)/(s^2 + 2s + 5)"

Dependencies

• Python >= 3.10
• mcp >= 1.0.0
• sympy >= 1.12
• scipy >= 1.11.0
• reasonforge (core library)

Running Tests

pytest packages/reasonforge-analysis/tests/ -v

License

MIT License - See LICENSE for details.

Related Packages

• reasonforge - Core symbolic computation library
• reasonforge-logic - Formal reasoning and logic
• reasonforge-algebra - Algebraic operations
• reasonforge-geometry - Vector/tensor calculus